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The framework of nuclear energy density functionals is applied to a study of the formation and evolution of cluster states in nuclei. The relativistic functional DD-ME2 is used in triaxial and reflection-asymmetric relativistic…

Nuclear Theory · Physics 2015-06-19 J. P. Ebran , E. Khan , T. Niksic , D. Vretenar

Spectroscopic properties of low-lying states and cluster structures in $^{12}$C are analyzed in a "beyond mean-field framework" based on global energy density functionals (EDFs). To build symmetry-conserving collective states,…

Nuclear Theory · Physics 2019-03-20 Petar Marević , Jean-Paul Ebran , Elias Khan , Tamara Nikšić , Dario Vretenar

We present a microscopic dynamical study of the reactions involving three $^{4}$He clusters. We show that the much discussed triple-$\alpha$ linear chain configuration of $^{12}$C is formed with a certain lifetime and subsequently decays…

Nuclear Theory · Physics 2014-11-20 A. S. Umar , J. A. Maruhn , N. Itagaki , V. E. Oberacker

At low densities, with decreasing temperatures, in symmetric nuclear matter alpha-particles are formed, which eventually give raise to a quantum condensate with four-nucleon alpha-like correlations (quartetting). Starting with a model of…

Nuclear Theory · Physics 2008-11-26 Y. Funaki , H. Horiuchi , G. Röpke , P. Schuck , A. Tohsaki , T. Yamada

The nuclear equation of state is explored with the constrained HFB approach for self conjugate nuclei. It is found that beyond a certain low, more or less universal density, those nuclei spontaneously cluster into A/4 alpha particles with A…

Nuclear Theory · Physics 2015-06-17 Michel Girod , Peter Schuck

Nuclear clustering describes the appearance of structures resembling smaller nuclei such as alpha particles (4He nuclei) within the interior of a larger nucleus. While clustering is important for several well-known examples, much remains to…

For more than half a century, the structure of $^{12}$C, such as the ground band, has been understood to be well described by the three $\alpha$ cluster model based on a geometrical crystalline picture. On the contrary, recently it has been…

Nuclear Theory · Physics 2020-05-04 S. Ohkubo , J. Takahashi , Y. Yamanaka

The understanding of clustering aspects at the ground state of nuclei and in fast rotating ones within the framework of covariant density functional theory has been reviewed and reanalyzed. The appearance of many exotic nuclear shapes in…

Nuclear Theory · Physics 2025-01-09 A. V. Afanasjev

Densities and transition densities are computed in an equilateral triangular alpha-cluster model for $^{12}$C, in which each $\alpha$ particle is taken as a gaussian density distribution. The ground-state, the symmetric vibration (Hoyle…

Nuclear Theory · Physics 2020-01-23 A. Vitturi , J. Casal , L. Fortunato , E. G. Lanza

Atomic nuclei can exhibit shape coexistence and multi-reference physics that enters in their ground states, and to accurately capture the ensuing correlations and entanglement is challenging. We address this problem by applying…

Nuclear Theory · Physics 2024-02-16 Z. H. Sun , G. Hagen , T. Papenbrock

The nucleonic localization function has been used for a decade to study the formation of alpha-particles in nuclei, by providing a measure of having nucleons of a given spin in a single place. However, differences in interpretation remain,…

Nuclear Theory · Physics 2023-01-11 E. Khan , L. Heitz , F. Mercier , J. -P. Ebran

This article comprises three sections. Section 2 starts with a review of ab initio no-core shell model calculations by Monte Carlo Shell Model. Alpha clustering arises for 8,10,12Be and 12C with Daejeon16 and JISP16 interactions, even in…

Nuclear Theory · Physics 2026-04-09 Takaharu Otsuka , Alexander Volya , Naoyuki Itagaki

It was shown that light nuclei such as $^4$He, $^8$Be, and $^{12}$C can be well described by RMF models, which enables a unified description for nuclei with baryon numbers $A\gtrsim4$. In this work, we propose a hybrid treatment for…

Nuclear Theory · Physics 2025-04-15 Cheng-Jun Xia

Since the discovery of molecular resonances in $^{12}$C+$^{12}$C in the early sixties a great deal of research work has been undertaken to study alpha-clustering. Our knowledge on physics of nuclear molecules has increased considerably and…

Nuclear Experiment · Physics 2019-09-16 C. Beck

The structures of the ground and excited states of 12Be were studied with antisymmetrized molecular dynamics. The ground state was found to be a state with a developed 2-alpha core with two neutrons occupying the intruder orbits. The energy…

Nuclear Theory · Physics 2009-11-10 Yoshiko Kanada-En'yo , Hisashi Horiuchi

Nuclear density functional theory (DFT) is the tool of choice in describing properties of complex nuclei and intricate phases of bulk nucleonic matter. It is a microscopic approach based on an energy density functional representing the…

Nuclear Theory · Physics 2016-11-30 Bastian Schuetrumpf , Chunli Zhang , Witold Nazarewicz

In this contribution, I will discuss two topics related to the clustering of atomic nuclei. The first is dual character of the ground state. Recently, it was pointed out that the ground states of atomic nuclei have dual character of shell…

Nuclear Theory · Physics 2016-12-12 M. Kimura

The nuclear clustering, as a quantum phase transition phenomenon governed by strong interactions, exhibits characteristics that are highly sensitive to the specific features of nuclear forces. Here, we examine how nuclear deformation and…

Nuclear Theory · Physics 2025-10-17 Zhao Jing Chen , Bao Yuan Sun

We investigate the degree of $\alpha$ ($^4$He nucleus) clustering in the ground-state density profiles of $^{44}$Ti and $^{52}$Ti. Two types of density distributions, shell- and cluster-model configurations, are generated fully…

Nuclear Theory · Physics 2022-11-09 W. Horiuchi , N. Itagaki

The algebraic cluster model is is applied to study cluster states in the nuclei 12C and 16O. The observed level sequences can be understood in terms of the underlying discrete symmetry that characterizes the geometrical configuration of the…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker
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